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Finding the Fourth Proportional to 82.45, 123.01 and 73.79

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Solution

The fourth proportional to 82.45, 123.01 and 73.79 is: 110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.45 : 123.01 = 73.79 : x
  2. Step 2: Convert to fraction form
    82.45/123.01 = 73.79/x
  3. Step 3: Cross multiply
    82.45x = 123.01 × 73.79
  4. Step 4: Simplify right side
    82.45x = 9,076.91
  5. Step 5: Solve for x
    x = 9,076.91/82.45
  6. Step 6: Final answer
    x = 110.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.